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You guys should think about what does this quantity stand for?
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Can you tell me what it stands for?
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Yeah.
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Yeah, by that it means,
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if you're really traveling with the center of mass,
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and you made a measurement on how fast every body's moving,
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this is the energy you will attribute to these particles.
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It's not that kinetic energy as seen
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by somebody on the ground who is static,
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but by somebody riding with the center of mass.
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So, this is the kinetic energy relative to center of mass.
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We can give it some name.